What is the perimeter and area of the trapezoid?

Answer:

4x 12y 8

Step-by-step explanation:

hopefully this helps you

The value of the solution of the expression (x³ y²)⁴ is, x¹² y⁸.

Used the rule of the exponent to solve the equation that states,

[tex](x^{m} )^n = x^{m \times n}[/tex]

[tex](xy)^{m} = x^m \times y^m[/tex]

Given that,

The expression is,

(x³ y²)⁴

Now apply the rule of the exponent to solve the equation as

[tex](x^3 y^2)^4[/tex]

It can be written as,

[tex](x^3 )^4 \times (y^2)^4[/tex]

Multiply the powers,

[tex](x^{3\times4} y^{2\times 4} )[/tex]

[tex]x^{12} y^{8}[/tex]

Therefore, the solution of the expression (x³ y²)⁴ is, x¹² y⁸.

To learn more about the exponent rule visit:

https://brainly.com/question/30241812

#SPJ6

Answer: B

Step-by-step explanation: 6^2 = 36

36*4= 144

144-7= 137

Answer:

B. 137

Step-by-step explanation:

Assuming by 4x2 you meant 4[tex]x^{2}[/tex], you plug in the 6 into x.

After, you would square 6, giving you 36.

Then you multiply 36 by 4, getting 144

All that's left to do is subtract 7 from 144 and ending with 137.

Answer:

5/2,-1

Step-by-step explanation:

substitute value

simplify

Answer:

Using the quadratic formula, it would be : 5/2, -1

Answer:

The park ranger bought 2 redwood trees and 10 spruce trees.

Step-by-step explanation:

24 * 2 = 48

208 - 48 = 160

160 / 16 = 10

Answer: 9.2 meters

Step-by-step explanation:

Hi, since the situation forms a 2 right triangles (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse (x) of each triangle (in this case the distance between the opposite corners) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 6^2 + 7^2  

c^2 = 36+49

c^2 = 85

c = √85

c = 9.2 meters

Feel free to ask for more if needed or if you did not understand something.  

Final answer:

To find the distance the gopher needs to run between the holes in a rectangle yard, use the Pythagorean Theorem with the given sides (7 meters by 6 meters) to calculate the diagonal distance of approximately 9.2 meters.

Explanation:

A gopher dug holes in opposite corners of a rectangle yard. If the yard is 7 meters by 6 meters, how far will the gopher have run to get from one of its holes to the other, rounded if necessary to the nearest tenth? Use the formula a square plus b square equals c square.

Identify the two sides of the rectangle as a and b, where a = 7 meters and b = 6 meters.

Apply the Pythagorean Theorem: a² + b² = c². Substitute the values: 7² + 6² = c².

Calculate the distance: 7² + 6² = c² ➔ 49 + 36 = c² ➔ 85 = c² ➔ c ≈ √85 ≈ 9.2 meters. So, the gopher would need to run approximately 9.2 meters to move between the holes.

Answer:

B) 5 x 4 x 3 x 2 x 1

Step-by-step explanation:

When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:

5! = 5 * 4 * 3 * 2 * 1

For example, take factoral 10: 10!

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800

In this case, you are multiplying 5!.

5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120

5! = 120

Answer:

7 is x but it ain't there

Your answer would be 56m².

To find the surface area, you need to add up the total number of squares that can be seen on the outside of the solid.

First you have the front end which is made up of 4 squares, and there would be another one on the same side, so this comes to 8m².

The surface on top contains 12 squares, and this would also be the same on the bottom of the solid, so you get 24m².

The surface on the right-hand side also contains 12 squares and would be doubled on the other side, so this also comes to 24m².

Therefore your final answer is 8 + 24 + 24 = 56m².

I hope this helps!

The value of n is 0 and the coordinate of D is at (0, -2)

Find the coordinate of the plane attached.

Given the following coordinates:

C = (0, -2)

D = (n, -2)

E = (n, 2)

Get the distance from point D to point E using the distance formula:

[tex]DE=\sqrt{(2+2)^2+(n-n)} \\DE=\sqrt{(4)^2} \\DE=4 units[/tex]

Get the distance from point D to point C using the distance formula:

[tex]DC=\sqrt{(2+2)^2+(n-n)} \\DC=\sqrt{(4)^2+n^2} \\DC=\sqrt{16+n^2}[/tex]

If the distance from point D to point E is equal to the distance from point D to point C, hence;

[tex]\sqrt{16+n^2}=4\\16+n^2=4^2\\n^2=16-16\\n=0[/tex]

Get the coordinate of point D(n, -2)

D = (0, -2)

Hence the value of n is 0 and the coordinate of D is at (0, -2)

Learn more about distance formula here: https://brainly.com/question/71956

The distance from point D to point E is 4 units. The value of n is indeterminable from the information given in the question.

In this question, we know the distance from point D to point E is equal to the distance from D to point C. Given this information, we can infer that coordinates of point E are (n, 2), while coordinates of point D are(n, -2). The distance formula on a cartesian plane is given by Distance = √[(x2-x1)² + (y2-y1)²].

Here, since D and E both have the same x-value (n), the distance between them depends only on the difference in their y-values. Therefore, the distance between D and E (and hence also D and C) is 4 units.

The value of n is irrelevant to the distance calculation, as it doesn't impact the distance between D and E or D and C. As such, it isn't possible to determine n's value given the information from the question.

https://brainly.com/question/32985146

#SPJ3

Why is this? Choice B is true because of the Pythagorean theorem. If vectors u and v are perpendicular, then we can form a rectangle. The diagonals of the rectangle are each of length ||u+v|| units long. From here you can form a right triangle with vector u+v as the hypotenuse. The expression shown in choice B is of the form c = sqrt(a^2+b^2), though with substitutions applied.

Choice D is true because of the triangle inequality theorem. This theorem says that the sum of any two sides of a triangle will always be larger than the third side. Otherwise, a triangle is not possible. I recommend cutting out strips of paper of various lengths and trying it out for yourself.

Choices A and C can be eliminated as they contradict B and D. Choice A contradicts choice D. Choice C contradicts choice B.

Answer:

E.

Step-by-step explanation:

1 / 2 : 5

8 : 80

They are directly proportional, and 1 / 2 -> 8 = 16

5 * 16 = 80

80 Miles.

The real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

The distance between two cities = 8 inches,

The scale 1 / 2 inches or 0.5  = 5 miles

So for 1 inch, the actual distance will be 2 × 5 = 10 miles,

Hence, for 8 inches the distance will be =  8 × 10 = 80 miles,

Therefore, the real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ5

Answer:

32

Step-by-step explanation:

[tex]Number \: of \: pieces = \frac{length \: of \: pipe}{length \: of \: one \: piece} \\ \\ \hspace {80 pt} = \frac{24}{ \frac{3}{4} } \\ \\ \hspace {80 pt}= 24 \times \frac{4}{3} \\ \\ \hspace {80 pt}= 8 \times 4 \\ \\ \hspace {80 pt}= 32[/tex]

Answer:

32 pieces

Step-by-step explanation:

If you do 24 divided by 3/4, then you would get 32 pieces, which is the answer. Hope this helps!

Answer:

y=-7

Step-by-step explanation:

Move all terms that don't contain   to the right side and solve.

∵∴∵∴∵∴∵∴∵      

⊕ΘΞΠΤ⊕      

∵∴∵∴∵∴∵∴∵

Answer: The solution for y would be y = -7

Step-by-step explanation:

-Solve:

[tex]3y+4y=-49[/tex]

-First, Combine like terms:

[tex]3y+4y=-49[/tex]

[tex]7y=-49[/tex]

-Then, divide both sides by 7:

[tex]7y= -49[/tex]

[tex]\frac{7y}{7} = \frac{-49}{7}[/tex]

[tex]y=-7[/tex]

So, therefore the result would be y= -7.

Answer:

1. (x + 4)(9x + 6)

2. (3x + 6)(3x + 4)

3. (9x + 4)(x + 6)

Step-by-step explanation:

9x² + 42x + 24

9x² + 36x + 6x + 24

9x(x + 4) + 6(x + 4)

(x + 4)(9x + 6)

9x² + 30x + 24

9x² + 12x + 18x + 24

3x(3x + 4) + 6(3x + 4)

(3x + 4)(3x + 6)

9x² + 58x + 24

9x² + 54x + 4x + 24

9x(x + 6) + 4(x + 6)

(9x + 4)(x + 6)

Answer:

24 1/2 minutes

Step-by-step explanation:

10 problems in 7 minutes

5 problems in 3 1/2 minutes

multiply 5 × 7 (5×7 = 35) to get 35

multiply (or add) 3 1/2 minutes times 7 (or add it together 7 times

Answer:

24.5 minutes.

Step-by-step explanation:

10 / 7 = 35 / x

7 x 35 = 245

245 = 10x

245/10 = 24.5

Feel free to let me know if you need more help. :)

Answer:

7 times p

7 multiplied by p

The product of 7 and p

Step-by-step explanation:

The question is 7p. Usually, when a number and a variable is placed side by side, it means you are multiplying:

7 times p

7 multiplied by p

The product of 7 and p

are all your answer choices, for they all deal with multiplying 7 with p.

~

Answer: 60

Step-by-step explanation:

The three interior (inside) angles in a triangle will always add up to 180°.

60 + 60 + y = 180

120 + y = 180

-120

y = 60

60 * 3 = 180

Answer:

B. 60

Step-by-step explanation:

It is an equilateral triangle, meaning all sides and angles are equal. This also means that if the angle of point B is 60°, then the angle of points C and A are also 60°.

Answer:

It is equivalent to 15x – 3)(2x + 1) = 0.       False

It is equivalent to (5x – 3)(2x + 1) = 0        True

Either   x=-1/2   or    5/3

Step-by-step explanation:

Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.

It is equivalent to 15x – 3)(2x + 1) = 0.       False

It is equivalent to (5x – 3)(2x + 1) = 0        True

When you take pull-out (2x+1), you will be left with (5x-3)

5x (2x + 1) - 3(2x + 1) = 0.

(2x+1)(5x-3)=0

Either 2x + 1 = 0                        

2x = -1    

Divide both-side of the equation by 2

2x/2 = -1/2                                    

  x= -1/2                                        

OR

5x-3 =0

5x = 3

Divide both-side of the equation by 5

5x/5 = 3/5

x = 5/3

Either   x=-1/2   or    5/3

Answer:

D

Step-by-step explanation:

Answer: A And C  ez

Step-by-step explanation:

[tex]5x + 4y = - 30 | \times ( - 3) \\ 3x - 9y = - 18 | \times 5 \\ \\ - 15x - 12y = 90 \\ 15x - 45y = - 90[/tex]

Now add 2 equations

[tex] - 57y = 0 \\ y = 0[/tex]

Now we need to put y into any equation

[tex] - 15x - 12 \times 0 = 90 \\ - 15x = 90 \\ x = - 6[/tex]

Answer: (-6;0)

Answer:

x = 8

Step-by-step explanation:

16/x = 2

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply x to both sides:

(16/x)x = (2)x

2x = 16

Next, isolate the variable, x. Divide 2 from both sides:

(2x)/2 = (16)/2

x = 16/2

x = 8

x = 8 is your answer.

~

Answer:

well number wouldnt be right? kind of weird question

Step-by-step explanation:

Answer: The question is a fly is The table shows the number of insects, by type, Bobby saw at a picnic.

Insect Number

Fly         8

Ant      22

Bee  4

Ladybug  6

Select the true statements about the information in the table.

Choose all answers that apply:

Choose all answers that apply:

(Choice A)

A

The ratio of flies to all insects is 1:5,

(Choice B)

B

For every 1 bee there are 10 insects.

(Choice C)

C

None of the above

Step-by-step explanation:

Answer:

c.  log 64.

Step-by-step explanation:

By the laws of logs:

3 log 4 = log 4^3

= log 64.

The correct value of the given logarithmic function is log 64. Option c is correct.

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. [tex]f(x) = b^x[/tex] is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

The expression 3 log 4 can be rewritten as:

[tex]3 log 4 \\= > log (4^3) \\= > log \ 64[/tex]

So, the logarithm that has the same value as 3 log 4 is option C, log 64.

Learn more about logarithmic functions here:

https://brainly.com/question/3181916

#SPJ2

There are 8 students in the range 12 cm to 13.9 cm

How many students are in the range

From the question, we have the following parameters that can be used in our computation:

The data values

Also, we have

Range = 12 cm to 13.9 cm

Looking through the data values, we have:

12.1, 13.5, 12.4, 13.7, 12.0, 13.8, 12.5, and 13.1

Counting these values, we have

Count = 8

Hence, there are 8 students in this range

Answer:

its B

Step-by-step explanation:

Answer:

Bb

Step-by-step explanation:

Answer:

La respuesta es la C

Step-by-step explanation:

Primero tienes que hacer el 25% de ambas cantidades y luego sumarlo

The required, tax would be $25,750 if the Tanners file jointly.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

Assuming that the tax rate of 25% applies to their combined taxable income, here's how to calculate their taxes if they filed jointly:

Calculate their combined taxable income:
$75,000 + $28,000 = $103,000

Calculate their tax liability based on their combined taxable income: $103,000 x 0.25 = $25,750

Therefore, the answer is C. $25,750, if the Tanners file jointly.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ3

Answer: usually letters are one of the variables in math (x,y) such as 7+x=10, x+4=10

Step-by-step explanation:

an element, feature, or factor that is liable to vary or change

You will find all of the surface area of all of the sides and add them together to find the surface area of the retangular prisim. So, what I would do is the front and back are both 54, so 108. The sides are 27, so 54. The top and bottom are 18, so 36. Add them together, and you will get 198. I hope this helps.

Answer:

x<2.5

Step-by-step explanation:

-4x +5>-5

-4x>-5-5

-4x>-10

x<10/4(on multiplying (-)ve sign both the sides inequality changes)

x < 2.5

The inequality -4x + 5 > -5 simplifies to x < 2.5 after isolating the variable and dividing by -4, which also reverses the inequality sign.

To solve the inequality -4x + 5 > -5, we first isolate the variable on one side:

Let's solve the inequality step-by-step:

Therefore, the solution to the inequality is x < 2.5.